What is the horizontal asymptote of f(x) = (0.2)*?
Answers
The horizontal asymptote of the exponential function f(x) = 0.2ⁿ is represented by the horizontal line y = 0 , to which the curve tends for n → + ∞.
How to find the horizontal asymptote of an exponential function
Exponential functions of the form f(x) =aⁿ have an asymptote, a horizontal one. For 0 < a < 1,The horizontal asymptote exists for n → + ∞ and tends to be 0, and the no asymptote exists for n → - ∞. Now we proceed to present a graph in the figure attached below.
Hence, the horizontal asymptote of the exponential function f(x) = 0.2ⁿ is represented by the horizontal line y = 0 , to which the curve tends for n → + ∞.
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Related Questions
if a user adds a new column to a table that already has rows, the existing rows will default to a value of _____ for the new column.
Answers
if a user adds a new column to a table that already has rows, the existing rows will default to a value of null for the new column.
When a column is added to a table that has existing rows, the values of the new column will be set to null for all existing rows. This is because the user has not yet specified any values for the new column.
Adding a new column to a table with existing rows will cause the new column values to be set to null for every existing row. This is because the user has not yet specified any values for the new column. This is a default behavior when creating a new column, and it allows the user to specify different values for each row as needed. This is beneficial because it allows the user to easily specify different values for the new column without having to manually enter them for each row.
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The amounts that two plumbers charge for their services are described.
The first plumber charges a fixed fee of $40 for house calls and $15 per hour of work.
The second plumber charges a fixed fee of $30 for house calls and $19 per hour of work.
For what number of hours work do the first plumber and the second plumber charge the same total amount?
Answers
Answer:
See below.
Step-by-step explanation:
40 + 15x = 30 + 19x
15x - 19x = 30 - 40
-4x = -10
x = 2.5
Two and a half hours.
The first plumber and the second plumber charge the same total amount for 2.5 hours of work.
What is Equation?Two or more expressions with an Equal sign is called as Equation.
The number of hours worked by both plumbers is "h". Then the total amount charged by the first plumber is:
Total cost for the first plumber = 40 + 15h
And, the total amount charged by the second plumber is:
Total cost for the second plumber = 30 + 19h
To find the number of hours for which both plumbers charge the same total amount, we need to solve the equation:
40 + 15h = 30 + 19h
4h = 10
h = 2.5
Therefore, the first plumber and the second plumber charge the same total amount for 2.5 hours of work.
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the retirement plan for a company allows employees to invest in 10 different mutual funds. if sam selected 3 of these funds at random and 5 of the 10 grew by at least 10% over the last year, what is the probability that 2 of sam's 3 funds grew by at least 10% last year? (enter your probability as a fraction.)
Answers
the final answer is: 1/3. We can use the hypergeometric distribution to solve this problem.
Let X be the number of funds that grew by at least 10% out of Sam's three selected funds. Then X follows a hypergeometric distribution with parameters N = 10 (total number of funds), K = 5 (number of funds that grew by at least 10%), and n = 3 (number of funds Sam selected).
The probability of two of Sam's three funds growing by at least 10% is:
P(X = 2) = (5 choose 2) * (5 choose 1) / (10 choose 3)
= 10 * 5 / 120
= 1/3
Therefore, the probability of experiencing neither of the side effects is:
P(neither side effect) = 1 - P(at least one side effect)
= 1 - (0.23 + 0.52 - 0.12)
= 0.37
So the final answer is: 1/3.
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Lincoln High School Band performed two concerts to raise
money for a field trip. Tickets were $9 for adults and $4
for students and teachers. In total, 356 people attended
both concerts, and the orchestra raised $1978. The number
of adults who came was twice the number of students.
Which of the following systems can be used to represent
this situation?
Answers
The system of equations which could be used to model the scenario are :
a + b = 3569a + 4b = 1978Cost of ticket :
Adults, a = $9Students, b = $4Total amount raised = $1978
Total number of attendees = 356
The system of equation which can be used to represent the situation :
Sum of adult and student tickets should add up to 356:
a + b = 356 - - - - (1)Total amount raised from ticket sale should equal $1978
9a + 4b = 1978 - - - - (2)Therefore, the systems of equation which could be used to model the situation are :
a + b = 356 and 9a + 4b = 1978Learn more :https://brainly.com/question/24679938
what is the answer for 2(5/3+3/4)-4/3s
Answers
10/3 + 3/4 - 4/3s
Change the denominator of 10/3 and 3/4 so they are equal. Multiply 10/3 by 4, 3/4 by 3, and 4/3 by 4 to get:
40/12 + 9/12 - 16/12s
49/12 - 16/12s
Hi, I'm very confused and I need help.
Answers
Answer:
x ≤ -5
Step-by-step explanation:
According to the 'key' on the far right :
First box has 4 x + 12 in it
second box has - 8 in it
4x+12 ≤ -8 subtract 12 from both sides
4x ≤ -20 divide through by 4
x ≤ -5
2 (x+4) = 2 (x-6) Solve the equation
Answers
Answer: x=16 this is the answer without the 2 in the beginning of the equation with the 2 there's no solution
Step-by-step explanation:
Sorry if you can’t see but is a 6 on top and on the right it is a -1
Answers
Solution
The rule of the diamond problem is given below
I will label the question as follow
Basically, we need to find a and a + b
\(\begin{gathered} a=\text{?} \\ b=-1 \\ ab=6 \\ a+b=\text{?} \end{gathered}\)From the above info
\(\begin{gathered} ab=6 \\ a(-1)=6 \\ -a=6 \\ a=-6 \end{gathered}\)\(a+b=-6+(-1)=-7\)The diamond problem solution is
first gets brainliest if they answer in time!! hurry i’m getting timed!!! :(
What is the value of x in the equation -2/5x-2= 18
O-50
O-40
O -8
O-6
Answers
Answer:
x= -50
Step-by-step explanation:
Solve for x by simplifying both sides of the equation, then isolating the variable.
a person starts walking from home and walks: 6 miles east 5 miles southeast 5 miles south 1 miles southwest 4 miles east
Answers
The person's final position, relative to their starting point, is 9 miles east and 10 miles south.
To determine the final displacement of the person, we can break down the given directions into their corresponding components on a coordinate system.
Let's assume that moving east is represented by a positive x-direction, moving north is represented by a positive y-direction, and the origin (0, 0) represents the person's starting point.
6 miles east
5 miles southeast
5 miles south
1 mile southwest
4 miles east
let's analyze the east-west component of the person's displacement:
6 miles east - This contributes +6 to the x-coordinate.
1 mile southwest - This contributes -1 to the x-coordinate.
4 miles east - This contributes +4 to the x-coordinate.
Total east-west displacement: +6 - 1 + 4 = +9 miles east.
let's analyze the north-south component of the person's displacement:
5 miles southeast - This contributes -5 to the y-coordinate.
5 miles south - This contributes -5 to the y-coordinate.
Total north-south displacement: -5 - 5 = -10 miles south.
Combining the east-west and north-south components, we get the final displacement:
Final displacement: +9 miles east, -10 miles south
Therefore, the person's final position, relative to their starting point, is 9 miles east and 10 miles south.
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The area of a square whose side is 5 cm is
Answers
Answer:
25
Step-by-step explanation:
5 x 5 = 25
Answer:
the area is 20
Step-by-step explanation:
each side is 5 and a square has 4 sides
5x4=20
Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision:
Answers
Using the information provided, it appears that your neighbor will not save money by picking up the soil himself as its total cost is $103.86 as opposed to cost of delivery $30.
Here is a detailed breakdown of the calculations and assumptions made:
The area of the yard is estimated to be around 7,200 sq.ft. Assuming a 4 inch layer of topsoil, this requires 4 cubic yards (1 cubic yard = 27 cubic feet).
The cost of the soil delivery is $30 per truckload (up to 18 cubic yards). So the delivery cost for 4 cubic yards of soil would be $30.
The cost of topsoil per cubic yard is $18. Thus, the total cost of the topsoil is $72.
The weight of topsoil is 2000 pounds per cubic yard, so the total weight of the soil is 8,000 pounds (4 cubic yards x 2000 pounds).
The pickup truck's payload capacity is 1800 pounds, so the truck can only transport 1/4 of the total weight of the soil (1800/8000 = 0.225). Thus, it would require 4 trips to transport the soil, and the total trip distance is 36 miles (9 miles x 4 trips).
The truck gets 17 miles per gallon, so it would require 2.1 gallons of gas for each trip (36 miles/17 mpg = 2.12). The total amount of gas needed for the 4 trips is 8.4 gallons (2.1 gallons x 4 trips). The cost of gas per gallon is assumed to be $3.79, so the total cost of gas for the 4 trips is $31.86.
Thus, the total cost of picking up the soil himself is $31.86 + $72 = $103.86. This is higher than the cost of delivery which is only $30, so it would be better to pay for delivery.
To conclude, your neighbor will not save money by picking up the soil himself, and it is recommended that he pays for delivery.
Note: The question is incomplete. The complete question probably is: He has decided to remove all the old sod (grass), bring in a new 4 inch layer of topsoil, install new in-ground sprinklers, and reseed the lawn. He seems to think that he'll be able to save money by hauling loads of topsoil from the store himself in his pickup truck, rather than paying for delivery, but I don't think he's right. You're going to help us settle this. Here is (most of) the information you asked for:
Is he redoing the whole yard or just the front? He's redoing the whole yardHow much topsoil does he need? I'm not sure, you'll have to figure that out. Remember he's putting a new 4 inch layer down over all the area currently covered by grass in the overhead picture above.How big is the yard? I'm not sure, but you can probably estimate it using the overhead picture.What kind of pickup truck does he drive? A 2003 Ford F-150 XL.How much can the pickup carry? The truck bed is 80 inches long, 69 inches wide, and 20 inches tall. The payload capacity is about 1800 pounds.How much is the delivery charge? $30 per truckload on top of the soil cost. Each truckload can deliver up to 18 cubic yards. How much does the topsoil cost? $18 per cubic yard (sold in 1/4 yard increments).How much does the topsoil weigh? Topsoil weighs about 2000 pounds per cubic yard.How far is the soil store? It is 9 miles away. It takes about 20 minutes to drive there.What gas mileage does the pickup truck get? It averages 17 miles to the gallon.What is the current gas cost? Assume it's $3.79/gallon.Using this information, figure out whether my neighbor will save money by picking up the soil himself. Use the results of your calculations to guide your decision: would you recommend that my neighbor pick up the soil himself, or pay for delivery? Detail all your assumptions and calculations, and clearly write out your final conclusions.
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The function y = -16t2 + 444 models the height y in feet of a stone t seconds after it is dropped from the edge of a vertical cliff. How long will it take the stone to hit the ground? Round to the nearest hundredth of a second. 5. 27 seconds 10. 54 seconds 0. 25 seconds 7. 45 seconds
Answers
The time taken by the stone to reach the ground is option A 5.27 seconds.
Given,
The function; y = -16t² + 444
y is the height in feet
t is the time in seconds
A stone from y height is dropped from the edge of a vertical cliff.
We have to find the time taken by the stone to reach the ground;
Here,
y = -16t² + 444
y = 0
Then,
0 = -16t² + 444
16t² = 444
t² = 444/16
t² = 27.75
t = √27.75
t = 5.27 seconds
That is,
The time taken by the stone to reach the ground is option A 5.27 seconds.
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Liza designs a tabletop in the shape of a regular hexagon with a
radius of 3 feet. She draws a circle around the hexagon to help her
find the area of the tabletop, as shown in the diagram below.
Answers
Answer:
28.27
Step-by-step explanation:
Area of a circle A≈ πr2
3.14 x 3^2 ≈ 28.27
Question 10(Multiple Choice Worth 2 points)
(Comparing Data MC)
The box plots display measures from data collected when 20 people were asked about their wait time at a drive-thru restaurant window.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 8.5 to 15.5 on the number line. A line in the box is at 12. The lines outside the box end at 3 and 27. The graph is titled Super Fast Food.
A horizontal line starting at 0, with tick marks every one-half unit up to 32. The line is labeled Wait Time In Minutes. The box extends from 9.5 to 24 on the number line. A line in the box is at 15.5. The lines outside the box end at 2 and 30. The graph is titled Burger Quick.
Which drive-thru typically has more wait time, and why?
Burger Quick, because it has a larger median
Burger Quick, because it has a larger mean
Super Fast Food, because it has a larger median
Super Fast Food, because it has a larger mean
Question 11(Multiple Choice Worth 2 points)
(Creating Graphical Representations MC)
The number of carbohydrates from 10 different tortilla sandwich wraps sold in a grocery store was collected.
Which graphical representation would be most appropriate for the data, and why?
Circle chart, because the data is categorical
Line plot, because there is a large set of data
Histogram, because you can see each individual data point
Stem-and-leaf plot, because you can see each individual data point
Question 12(Multiple Choice Worth 2 points)
(Comparing Data MC)
The line plots represent data collected on the travel times to school from two groups of 15 students.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 10, 16, 20, and 28. There are two dots above 8 and 14. There are three dots above 18. There are four dots above 12. The graph is titled Bus 14 Travel Times.
A horizontal line starting at 0, with tick marks every two units up to 28. The line is labeled Minutes Traveled. There is one dot above 8, 9, 18, 20, and 22. There are two dots above 6, 10, 12, 14, and 16. The graph is titled Bus 18 Travel Times.
Compare the data and use the correct measure of center to determine which bus typically has the faster travel time. Round your answer to the nearest whole number, if necessary, and explain your answer.
Bus 14, with a median of 14
Bus 18, with a mean of 12
Bus 14, with a mean of 14
Bus 18, with a median of 12
Question 13(Multiple Choice Worth 2 points)
(Appropriate Measures MC)
The line plot displays the number of roses purchased per day at a grocery store.
A horizontal line starting at 1 with tick marks every one unit up to 10. The line is labeled Number of Rose Bouquets, and the graph is titled Roses Purchased Per Day. There is one dot above 1 and 2. There are two dots above 8. There are three dots above 6, 7, and 9.
Which of the following is the best measure of variability for the data, and what is its value?
The range is the best measure of variability, and it equals 8.
The range is the best measure of variability, and it equals 2.5.
The IQR is the best measure of variability, and it equals 8.
The IQR is the best measure of variability, and it equals 2.5.
Question 14(Multiple Choice Worth 2 points)
(Circle Graphs LC)
Chipwich Summer Camp surveyed 100 campers to determine which lake activity was their favorite. The results are given in the table.
Lake Activity Number of Campers
Kayaking 15
Wakeboarding 11
Windsurfing 7
Waterskiing 13
Paddleboarding 54
If a circle graph was constructed from the results, which lake activity has a central angle of 39.6°?
Kayaking
Wakeboarding
Waterskiing
Paddleboarding
Question 15(Multiple Choice Worth 2 points)
(Making Predictions MC)
At a recent baseball game of 5,000 in attendance, 150 people were asked what they prefer on a hot dog. The results are shown.
Ketchup Mustard Chili
63 27 60
Based on the data in this sample, how many of the people in attendance would prefer ketchup on a hot dog?
900
2,000
2,100
4,000
Answers
Q10: The answer is Burger Quick, Q11: The answer is Histogram ,Q12: The answer is Bus 18 ,Q13: The answer is the IQR is the best measure of variability,Q14: The answer is Paddleboarding ,Q15: The answer is 2,100
what is measure of variability ?
In statistics, the measure of variability is a term that refers to how spread out or dispersed a set of data is. In other words, it is a measure of how much the data points in a given set differ from each other.
In the given question,
Question 10: The answer is Burger Quick, because it has a larger median.
Question 11: The answer is Histogram, because it is the best graphical representation for displaying continuous data, like the number of carbohydrates in tortilla sandwich wraps.
Question 12: The answer is Bus 18, with a median of 12, because the median is the best measure of center to use for skewed data, and Bus 18 has a lower median than Bus 14.
Question 13: The answer is the IQR is the best measure of variability, and it equals 2.5, because the IQR is the best measure of variability to use for skewed data, and it is calculated as the difference between the 75th percentile and the 25th percentile, which in this case is 9 - 6.5 = 2.5.
Question 14: The answer is Paddleboarding, because the central angle can be calculated as (54/100) * 360 = 194.4°, and Paddleboarding has the closest central angle to 39.6°.
Question 15: The answer is 2,100, because you can use proportions to estimate that 63/150 of the sample prefers ketchup their hot dog, and then apply that proportion to the total attendance: (63/150) * 5,000 = 2,100.
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y varies directly as the square of x and inversely as z. Find y when x=2 and z=1 , if y=4 when x=4 and z=12
Answers
The direct and Inverse variation relationship,x = 2 and z = 1, the value of y is 12.
the direct and inverse variation relationship:
y = k * (x^2) / z
where k is the constant of variation.
Given that y = 4 when x = 4 and z = 12, we can substitute these values into the equation:
4 = k * (4^2) / 12
Simplifying, we have:
4 = k * 16 / 12
To solve for k, we can cross-multiply and divide:
4 * 12 = k * 16
48 = 16k
Dividing both sides by 16:
48 / 16 = k
k = 3
Now that we have determined the value of k, we can use it to find y when x = 2 and z = 1.
Substituting these values into the equation, we have:
y = 3 * (2^2) / 1
Simplifying further
y = 3 * 4 / 1
y = 12
Therefore, when x = 2 and z = 1, the value of y is 12.
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13 POINTS FOR ANSWERS TO ALL STEPS
geometry triangles
Answers
Step-by-step explanation:
a) We know that triangle ABD is a right triangle, because of the right angle mark show, and the fact that BD- height, thus perpendicular.
We also know that m<A=30 degrees, due to given diagram.
The sum of all angles in a triangle is 180 degrees. Therefore, m<BDA + m<ABD + m<DAB (Usain Bolt!) = 180 degrees.
m<BAD=30 degrees, m<BDA=90 degrees
Substitute these two in the equation above. You will get that m<ABD=60 degrees.
b) Triangle ABD is a special triangle, with angles of 30,60 and 90.
We know that AD=10\(\sqrt{3}\) units.
AD is opposite the 60 degree angle, or <ABD. It is a theorem that the angle opposite to the 60 degree angle is the height (BD) divided by \(\sqrt{3}\). Calculate, and what do you get? BD=10 units!
c) Use the fact that triangle ABC is an isosceles triangle.
d) Use the fact that you know the height, base, and triangle area formula: Base x 1/2 x Height.
I will say no more, but I hope you understand the rest based on your logic.
in 2000, the total population of the u.s. was 281.4 million people. in 2010, it was 308.7 million people. (source: www.census.gov) what is the average rate of change in the total population over this time period?
Answers
The average rate of change is 2,73,000.
The average rate of change is calculated using the formula -
Average rate of change = change in population ÷ change in time
Keep the values in formula to find the rate of change of population over given time period
Average rate of change = (308.7 - 281.4) million ÷ (2010 - 2000)
Performing subtraction in numerator and denominator on Right Hand Side of the equation
Average rate of change = 2730000 ÷ 10
Performing division on Right Hand Side of the equation
Average rate of change = 2,73,000
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Anyone know how to do this?
Answers
Answer:
yup very easy
Step-by-step explanation:
3. In the figure below, what is m 2 if m26 = 120°?
3\2
41
56
87
educe for classroom use.
A. 60°
B. 90°
C. 120°
D. 150°
Answers
Answer:
C. 120°
Step-by-step explanation:
\(m \angle \: 2 = m \angle 6 \\ (corresponding \: \angle s) \\ \\ \because \: m \angle 6 = 120 \degree \\ ...(given)\\ \\ \red{ \bold{\therefore \: m \angle 2 = 120 \degree }}\)
Suppose a store examines a sample of n =100 purchases and observes 48 customers used a debit card. what is the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60?
Answers
There is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less.
To find the probability of a sample proportion of 0.48 or less if the true population proportion is 0.60, we can use the sampling distribution of the sample proportion and the z-score.
Given:
Sample size (n) = 100
Observed sample proportion ) = 0.48
True population proportion (p) = 0.60
To find the probability, we need to standardize the observed sample proportion using the z-score formula:
z = ( - p) / √(p * (1 - p) / n)
Substituting the values:
z = (0.48 - 0.60) / √(0.60 * (1 - 0.60) / 100)
= -0.12 / √(0.24 / 100)
= -0.12 / √0.0024
= -0.12 / 0.049
Using a standard normal distribution table or a statistical calculator, we can find the probability associated with the z-score.
The probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is the probability to the left of the z-score obtained.
P ≤ 0.48) = P(z ≤ -0.12)
Using a standard normal distribution table, we find that the probability of z ≤ -0.12 is approximately 0.4522.
Therefore, the probability of a sample proportion of 0.48 or less, given a true population proportion of 0.60, is approximately 0.4522 or 45.22%.
This means that there is a 45.22% chance that a randomly selected sample proportion of 100 purchases will be 0.48 or less, if the true population proportion is 0.60.
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find the measure of ON
i’ll give a brainiest
Answers
Answer:
Segment ON is 23 units long.
Step-by-step explanation:
Looking at the attachment here, two angles are the same, which means this is an isosceles triangle. As a result, two sides are also the same. Both PO and ON are of equal length, so ON is 23 units long, like PO.
I hope this helps you!
Answer: 17
Step-by-step explanation:
because the length of the longest angle is 40 so you have to subtract 40 by 23 which is 17 so 17
plz mark me brainliest
(bottom right of my answer when 2 people answered)
Please help me need ASAP
Answers
Answer:
(2)
The increased amount is 9
You invest an initial $300 in an account that has an annual interest rate of 4%, compounded quarterly. How much money will you have in the account after 10 years? Round your answer to the nearest whole number.
Answers
Answer:
Step-by-step explanation:
The formula you will want to use for this is one that allows a certain number of compoundings of the interest per year. This is a specific one for compounding continuously, and there is one for finding simple interest. Here is the one we want:
\(A(t)=P(1+\frac{r}{n})^{nt}\) where A(t) is the amount in the account after the compounding occurs over the number of years specified, P is the initial amount in the account, r is the interest rate in decimal form, n is the number of times per year the compounding occurs, and t is the amount of time the money is in the account in years. For us:
P = 300,
r = .04,
n = 4 (quarterly means 4 times), and
t = 10
Filling in:
\(A(t)=300(1+\frac{.04}{4})^{(4)(10)}\) and
\(A(t)=300(1+.01)^{40}\) and
\(A(t)=300(1.01)^{40}\) and
A(t) = 300(1.488863734) so
A(t) = $446.66 or $447
Answer: rounded it to $447
Step-by-step explanation: i think :)
2. What is another word to describe
absolute value?
Osum
O distance
Answers
Answer:
distance
Step-by-step explanation:
lets say -7 what is -7 distance from 0
so the absolute value of -7 is 7
Answer:
Step-by-step explanation:
Absolute value represents the distance between 2 points on a number line or coordinate plane.
_____ is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.
Answers
Appraisal is defined as the process by which people evaluate the events, situations, or occurrences that lead to their having emotions.
Appraisal refers to the cognitive process through which individuals assess and evaluate the various events, situations, or occurrences that trigger emotional responses within them. It involves the interpretation and analysis of the meaning and significance of these events, which ultimately influences the emotional experience and response. During the appraisal process, individuals assess several key factors, such as the relevance of the event to their goals, the implications and consequences of the event, and the personal significance it holds for them. They also evaluate their ability to cope with or manage the event and consider the potential for future similar events. The appraisal process is subjective and influenced by individual beliefs, values, and previous experiences. Different people may appraise the same event differently, leading to variations in emotional responses.
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if the probability that a baby born in a certain hospital will speak in the next day is $1/4$, what is the probability that at least $2$ babies out of a cluster of $5$ babies will speak tomorrow?
Answers
The probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow is 47/128.
To calculate the probability that at least 2 babies out of a cluster of 5 babies will speak tomorrow, we can use the binomial probability formula. The binomial probability formula is given by:
P(X ≥ k) = 1 - P(X < k) = 1 - ∑(i=k-1)^(n) [C(n, i) * p^i * (1-p)^(n-i)]
Where:
P(X ≥ k) is the probability that X is greater than or equal to k
P(X < k) is the probability that X is less than k
n is the number of trials (number of babies in the cluster) = 5
p is the probability of success (probability that a baby speaks) = 1/4
k is the number of successes we are interested in (at least 2 babies speaking)
Let's calculate the probability using this formula:
P(X ≥ 2) = 1 - P(X < 2) = 1 - [P(X = 0) + P(X = 1)]
P(X = 0) = C(5, 0) * (1/4)^0 * (3/4)^(5-0) = 1 * 1 * (3/4)^5 = 243/1024
P(X = 1) = C(5, 1) * (1/4)^1 * (3/4)^(5-1) = 5 * (1/4) * (3/4)^4 = 405/1024
P(X ≥ 2) = 1 - (243/1024 + 405/1024) = 376/1024 = 47/128
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A stadium has 54,000 seats.Seats sell for 30$ in section A,$24 in section B, and $18 in section C.The number of seats in section A equals the total number of seats in section B and C.Suppose the stadium takes in $1,384,800 from each sold -out event.How many seats does each section hold
Answers
Answer:
46160
Step-by-step explanation:
Total price of seats A = 1384800÷2=692400
seats in section A=692400÷30=23080
seats in section B = 23080÷2=11520
seats in section C=23080÷2=11520
Totals seats in the stadium=23080 +11520 +11520 = 46160
if
f(x)=4x2−3x+7 , what is f(−2) ?
Answers
Answer:
D. 29 I just know the awnser sorry
To find the value of f(−2), we substitute −2 for x in the function f(x):
f(−2) = 4(-2)^2 − 3(-2) + 7
= 4(4) − 3(2) + 7
= 16 − 6 + 7
= 11
Therefore, f(−2) = 11.
Populations of aphids and ladybugs are modeled by the equations dA = 2A 0.01AL dt dL = -0.5L + 0.0001AL. dt (a) Find an expression for dL/dA. dL dA 0.5L + 0.0001AL 2A – 0.01AL
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The expression for dL/dA, which represents the rate of change of ladybugs (L) with respect to aphids (A), is 0.5L + 0.0001AL - 2A + 0.01AL.
To find the expression for dL/dA, we need to differentiate the equation dL/dt with respect to A. The given equations are:
dA/dt = 2A - 0.01AL
dL/dt = -0.5L + 0.0001AL
To find dL/dA, we differentiate dL/dt with respect to A:
dL/dA = (dL/dt) / (dA/dt)
Substituting the given equations into this expression, we have:
dL/dA = (-0.5L + 0.0001AL) / (2A - 0.01AL)
Simplifying further, we can rearrange the terms:
dL/dA = -0.5L / (2A - 0.01AL) + 0.0001AL / (2A - 0.01AL)
Combining the terms with a common denominator, we get:
dL/dA = (0.0001AL - 0.5L) / (2A - 0.01AL)
So, the expression for dL/dA is (0.0001AL - 0.5L) / (2A - 0.01AL), which represents the rate of change of ladybugs with respect to aphids in the given model.
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